List questions from transpose

Published on 11 May 2022 - 11:52

78

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Matrix of adjoint linear map is transposed matrix

Published on 13 May 2022 - 14:27

399

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Proof that $(A^t)^t=A$, $(A+B)^t=A^t+B^t$, $(AB)^t=B^tA^t$, and deduce that $BB^t$ is symmetric and $B-B^t$ is skew-symmetric

Published on 27 Mar 2026 - 1:04

61

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Finding the conjugate/hermitian transpose of a transformation

Published on 24 May 2022 - 15:51

102

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How to scale a fat matrix to ensure its rows are orthonormal?

Published on 25 May 2022 - 6:35

443

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How to show $(Ax)^T = x^T A^T$ for square matrix $A$?

Published on 26 Jun 2022 - 23:06

23

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Computing $D_v^2(f)(x_0)$, if $f(x,y)=x^3+x+y^2-2y+1$, $v=\frac{1}{5}(3,4), x_0=(\frac{1}{3},1)$

Published on 29 Jun 2022 - 0:48

141

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Does $b^Tx = x^Tb$ always hold?

Published on 30 Jun 2022 - 6:56

92

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Motivation for the transpose map

Published on 03 Aug 2022 - 22:06

72

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Transpose of automorphisms

Published on 06 Aug 2022 - 22:21

213

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Exercise 7, Section 3.7 of Hoffman’s Linear Algebra

Published on 27 Mar 2026 - 21:17

59

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Exponential of symmetrical 4x4 matrix

Published on 18 Aug 2022 - 7:41

33

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Substitution in a matrix

Published on 18 Aug 2022 - 7:48

32

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Order of transposes for matrix with matrix elements?

Published on 06 Sep 2022 - 9:30

71

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SVD of matrix and SVD of its transpose: U and V exchange places

Published on 06 Sep 2022 - 18:02

List Question

When is a sum of products of two matrices and the transposes positive definite?

Matrix of adjoint linear map is transposed matrix

Proof that $(A^t)^t=A$, $(A+B)^t=A^t+B^t$, $(AB)^t=B^tA^t$, and deduce that $BB^t$ is symmetric and $B-B^t$ is skew-symmetric

Finding the conjugate/hermitian transpose of a transformation

How to scale a fat matrix to ensure its rows are orthonormal?

How to show $(Ax)^T = x^T A^T$ for square matrix $A$?

Computing $D_v^2(f)(x_0)$, if $f(x,y)=x^3+x+y^2-2y+1$, $v=\frac{1}{5}(3,4), x_0=(\frac{1}{3},1)$

Does $b^Tx = x^Tb$ always hold?

Motivation for the transpose map

Transpose of automorphisms

Exercise 7, Section 3.7 of Hoffman’s Linear Algebra

Exponential of symmetrical 4x4 matrix

Substitution in a matrix

Order of transposes for matrix with matrix elements?

SVD of matrix and SVD of its transpose: U and V exchange places

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